Dust particles range in size from 0.005 to 0.05mm. Express these dimensions in micro meters.

First, you need to convert the particle size from millimeters to meters:

0.005 millimeters = 0.00005 meters = 5 * 10 ^ -5 meters;

0.05 millimeters = 0.0005 meters = 5 * 10 ^ -4 meters.

To convert meters to micrometers, you need to use the following ratio:

1 meter = 1,000,000 micrometers = 10 ^ 6 micrometers.

Then:

0.005 millimeters = 5 * 10 ^ -5 meters = 5 * 10 ^ -5 * 10 ^ 6 = 5 * 10 = 50 micrometers.

0.05 millimeters = 5 * 10 ^ -4 meters = 5 * 10 ^ -4 * 10 ^ 6 = 5 * 10 ^ 2 = 500 micrometers.